Solve the problem above and double check your answer

Consider a weighted voting system with four players (P, through P,). Complete (a) through (e) below. (a) (b) (c) (d) (e) Find the total number of coalitions in this weighted voting system. There are a total of coalitions. How many coalitions in this weighted voting system do not include P? (Hint: Think of all the possible coalitions of the remaining players.) There are coalitions. How many coalitions in this weighted voting system do not include P,? (Hint: Is this really different from (b)?) There are coalitions. How many coalitions in this weighted voting system include neither P3 nor P,? There are Coalitions. How many coalitions in this weighted voting system include both P3 and P4? (Hint: Use your answers for (a) and (d).) There are Coalitions